Vowels Never Being Separated
How many different arrangements can be made out of the letters of the word draught, the vowels never being separated?
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Vowels can appear as AU or UA. Treat the combination as one letter.
With AU combination: effectively number of letters: 6
So permutations = 6!
with UA combination also, permutations = 6!
total arrangements (different) = 2 * 6! = 1, 440.
Vowels can appear as AU or UA. Treat the combination as one letter.
With AU combination: effectively number of letters: 6
So permutations = 6!
with UA combination also, permutations = 6!
total arrangements (different) = 2 * 6! = 1, 440.
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